2609684736 has 72 divisors (see below), whose sum is σ = 7033649280. Its totient is φ = 858863616.

The previous prime is 2609684731. The next prime is 2609684771. The reversal of 2609684736 is 6374869062.

It is a happy number.

It is a super-2 number, since 2×2609684736² = 13620908842622779392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2609684731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39166 + ... + 82178.

Almost surely, 2^2609684736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2609684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516824640).

2609684736 is an abundant number, since it is smaller than the sum of its proper divisors (4423964544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2609684736 is an equidigital number, since it uses as much as digits as its factorization.

2609684736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43111 (or 43097 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 2609684736 is about 51085.0735146775. The cubic root of 2609684736 is about 1376.7740822082.

The spelling of 2609684736 in words is "two billion, six hundred nine million, six hundred eighty-four thousand, seven hundred thirty-six".